Question

What is the recursive rule for the sequence? -1,-0.5,0,0.5,1,...

Answer 1

9514 1404 393

Answer:

  C

Step-by-step explanation:

The subscript (n-1) is used to indicate the term previous to term (n). In this sequence, each term is 0.5 more than the previous term, so the recursive relation ...

  $a_n=a_{n-1}+0.5$

is the appropriate one. This matches choice C.

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Additional comment

Of course, if the next term is 0.5 more than the last, then the previous term is 0.5 less than the present one. The sequence can be described in this "backward" fashion by the recursive relation of choice A. While that does work to describe the sequence, it is usually not the form we desire for a recursive relation.